Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7652 and 7660 the smallest integer that is 14653580 that is divisible by both numbers.
Least Common Multiple (LCM) of 7652 and 7660 is 14653580.
LCM(7652,7660) = 14653580
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7652 and 7660. First we will calculate the prime factors of 7652 and 7660.
Prime Factorization of 7652
2 | 7652 |
2 | 3826 |
1913 | 1913 |
1 |
Prime factors of 7652 are 2,1913. Prime factorization of 7652 in exponential form is:
7652 = 22×19131
Prime Factorization of 7660
2 | 7660 |
2 | 3830 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 7660 are 2, 5,383. Prime factorization of 7660 in exponential form is:
7660 = 22×51×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 7652 and 7660.
LCM(7652,7660) = 22×51×3831×19131
LCM(7652,7660) = 14653580
Factors of 7652
List of positive integer factors of 7652 that divides 7652 without a remainder.
1, 2, 4, 1913, 3826, 7652
Factors of 7660
List of positive integer factors of 7660 that divides 7660 without a remainder.
1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7652 and 7660, than apply into the LCM equation.
GCF(7652,7660) = 4
LCM(7652,7660) = ( 7652 × 7660) / 4
LCM(7652,7660) = 58614320 / 4
LCM(7652,7660) = 14653580
(i) The LCM of 7660 and 7652 is associative
LCM of 7652 and 7660 = LCM of 7660 and 7652
1. What is the LCM of 7652 and 7660?
Answer: LCM of 7652 and 7660 is 14653580.
2. What are the Factors of 7652?
Answer: Factors of 7652 are 1, 2, 4, 1913, 3826, 7652. There are 6 integers that are factors of 7652. The greatest factor of 7652 is 7652.
3. What are the Factors of 7660?
Answer: Factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660. There are 12 integers that are factors of 7660. The greatest factor of 7660 is 7660.
4. How to Find the LCM of 7652 and 7660?
Answer:
Least Common Multiple of 7652 and 7660 = 14653580
Step 1: Find the prime factorization of 7652
7652 = 2 x 2 x 1913
Step 2: Find the prime factorization of 7660
7660 = 2 x 2 x 5 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14653580 = 2 x 2 x 5 x 383 x 1913
Step 4: Therefore, the least common multiple of 7652 and 7660 is 14653580.